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A completely integrable mechanical system |
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| Authors: | H W Braden |
| Institution: | 1. DAMTP, Silver Street, CB3 9EW, Cambridge, England |
| Abstract: | We present a new completely integrable classical mechanical system, that of a particle constrained to a sphere with potential $$U = a_i x_i^2 + \beta \left {\sum {\frac{{x_i^2 }}{{a_i }}} } \right]^{ - 1} $$ . |
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